Such problem can be addressed through Matlab/Simulink. While the code can also be written as a M-file, Simulink provides more efficiency in terms of mathematical flexibility and analysis speed.

Attached is a cyclic behavior I simulated in Simulink (a concrete shear wall). Compared to slip isolators, attached behavior is much more complicated. Stiffness/strength degradations as well as pinching were included in the model. So I think behavior of FPS with any curve configuration, can be modeled in Simulink if you have already worked with that.

Simulink is a time domain platform and all you need is mathematical formulation of the intended behavior.

Such problem can be addressed through Matlab/Simulink. While the code can also be written as a M-file, Simulink provides more efficiency in terms of mathematical flexibility and analysis speed.

Attached is a cyclic behavior I simulated in Simulink (a concrete shear wall). Compared to slip isolators, attached behavior is much more complicated. Stiffness/strength degradations as well as pinching were included in the model. So I think behavior of FPS with any curve configuration, can be modeled in Simulink if you have already worked with that.

Simulink is a time domain platform and all you need is mathematical formulation of the intended behavior.

Thanks for your quick reply.

I have downloaded a benchmark building for analysis of base isolated structures. However, there seems to be a problem with the S-function of simulink, that is the file is in DLL format.

I attached the files of the benchmark building for your review and kind help.

Meanwhile, can I have your email or phone number to be in contact with you. It seems I can get fruitful help from you.

My mobile number : 0936 498 6710

Thanks

I propose to build the model yourself, as most available models on the web are bug-infested, unnecessarily complicated, and hard to fully understand. You don't need any S-function at all. You can simply obtain cyclic behavior of the isolator through some closed loops and some "logic", "memory", "Matlab function", etc, blocks.

As you know, Simulink is well suited for parametric studies with huge number of runs (in the order of 100,000 or even more). So forget about Simulink if you don't need any parametric study. But if you gonna do a parametric study, you suppose to build your model as simple as possible. Forget about P-delta effects, 2-D ground motions, and nonlinearity of the main structure.

You can evaluate above effects after the parametric study on another platform such as OpenSees or its Navigator cousin.

while the basic performance of FPS is easy to be modeled, the realistic performance is a little more complicated. In fact you should model also the variation of the friction coefficient with the changing vertical load, with velocity and with the overall travel that increases temperature on the sliding surfaces and so changes the friction phenomena.

The simplest method you may utilize using MATLAB is to use the MATLAB ODE45 solver. For the hysteresis behavior of the bearing you can use Bouc-Wen model with very high initial stiffness to simulate the Rigid-Plastic behavior of the friction force. You need to convert the dynamic equation of motion of the system into State-Space form and solve the resultant equations using ODE45.

More explanation on solving the dynamic sliding of a rigid block which is very similar to your problem by this method can be found in:

Page 87, section 6.1.2 of the "PEER 2005/07, Experimental and Analytical Studies on the Seismic Response of Freestanding and Anchored Laboratory Equipment".